I read articles that said Carl liked to play with knobs to get different tones, so who knows what the actual settings were on those recordings. Every Sun recording was using P-90's- Honey Don't was a '53 Les Paul, Blue Suede Shoes was a '55 Les Paul, and Matchbox was a Gibson Switchmaster with three P-90's that he bought after the sucess of Blue Suede Shoes. After the Sun years, when he went on to Columbia records, he was using Fender guitars, most of the time it was a Strat, but he was also seen playing Jazzmasters, Teles, and I'm pretty sure even a Jaguar after they were introduced. But in the '60s, '70s, and early '80's he was also known to play a lot of other guitars, including Peavey T-60's and T-27's. The rumor is he played over 1000 guitars on stage and in the studio during his life time, and I believe it! Around '86 he started using an '85 G&L Broadcaster, which is my favorite Carl Perkins tone/era. He used that as his main guitar up until he passed away in '98.
Sorry, when it comes to Carl Perkins, I get carried away with information.....
Anyways, it seems like for the tones you want, you may want to route it out for a P-90 bridge pickup, to get somewhere close to the tone you're looking to get.